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115009092 = 223311131739
BaseRepresentation
bin1101101101011…
…10011001000100
322000102001211000
412312232121010
5213420242332
615225013300
72564363322
oct666563104
9260361730
10115009092
1159a13040
1232624230
131aa9a323
14113bad12
15a16bb7c
hex6dae644

115009092 has 96 divisors (see below), whose sum is σ = 328204800. Its totient is φ = 34538400.

The previous prime is 115009049. The next prime is 115009127. The reversal of 115009092 is 290900511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155259 + ... + 155997.

It is an arithmetic number, because the mean of its divisors is an integer number (3418800).

Almost surely, 2115009092 is an apocalyptic number.

115009092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115009092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164102400).

115009092 is an abundant number, since it is smaller than the sum of its proper divisors (213195708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

115009092 is a wasteful number, since it uses less digits than its factorization.

115009092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 115009092 is about 10724.2292030710. The cubic root of 115009092 is about 486.3072283914.

The spelling of 115009092 in words is "one hundred fifteen million, nine thousand, ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 131 132 198 262 297 393 396 524 594 739 786 1179 1188 1441 1478 1572 2217 2358 2882 2956 3537 4323 4434 4716 5764 6651 7074 8129 8646 8868 12969 13302 14148 16258 17292 19953 24387 25938 26604 32516 38907 39906 48774 51876 73161 77814 79812 96809 97548 146322 155628 193618 219483 290427 292644 387236 438966 580854 871281 877932 1064899 1161708 1742562 2129798 2613843 3194697 3485124 4259596 5227686 6389394 9584091 10455372 12778788 19168182 28752273 38336364 57504546 115009092